Mesothelioma Lawsuit Settlements A mesothelioma settlement is an arrangement which resolves your asbestos-related health issue through an out-of court agreement. After your lawyer has filed the lawsuit, the companies named must respond within 30 days, and attorneys from both sides will share discovery information. Companies have ignored asbestos warnings for decades and put thousands of people in danger. A lawsuit can help make these companies accountable and obtain compensation to support your family. Compensation A mesothelioma settlement l